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Finding the Third Proportional to 240.05 and 331.70

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Solution

The third proportional to 240.05 and 331.70 is: 458.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.05 : 331.70 = 331.70 : x
  2. Step 2: Convert to fraction form
    240.05/331.70 = 331.70/x
  3. Step 3: Cross multiply
    240.05x = 331.70 × 331.70
  4. Step 4: Simplify right side
    240.05x = 110,024.37
  5. Step 5: Solve for x
    x = 110,024.37/240.05
  6. Step 6: Final answer
    x = 458.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.